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T. Parthasarathy’s contributions to complementarity problems: a survey

Author

Listed:
  • G. S. R. Murthy

    (Indian Statistical Institute)

  • K. C. Sivakumar

    (Indian Institute of Technology Madras)

  • P. Sushmitha

    (Indian Institute of Technology Madras)

Abstract

This expository cum survey article concerns the contributions of Professor Thiruvenkatachari Parthasarathy to complementarity problems.

Suggested Citation

  • G. S. R. Murthy & K. C. Sivakumar & P. Sushmitha, 2020. "T. Parthasarathy’s contributions to complementarity problems: a survey," Annals of Operations Research, Springer, vol. 287(2), pages 867-894, April.
    • Handle: RePEc:spr:annopr:v:287:y:2020:i:2:d:10.1007_s10479-018-2939-3
    DOI: 10.1007/s10479-018-2939-3
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    References listed on IDEAS

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    1. T. Parthasarathy & D. Sampangi Raman & B. Sriparna, 2002. "Relationship Between Strong Monotonicity Property, P 2 -Property, and the Gus-Property in Semidefinite Linear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 27(2), pages 326-331, May.
    2. S. R. Mohan & T. Parthasarathy & R. Sridhar, 1994. "The Linear Complementarity Problem with Exact Order Matrices," Mathematics of Operations Research, INFORMS, vol. 19(3), pages 618-644, August.
    3. Richard Cottle, 2010. "A field guide to the matrix classes found in the literature of the linear complementarity problem," Journal of Global Optimization, Springer, vol. 46(4), pages 571-580, April.
    4. R. Balaji & T. Parthasarathy & D. Sampangi Raman & V. Vetrivel, 2005. "On the Lipschitz Continuity of the Solution Map in Semidefinite Linear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 30(2), pages 462-471, May.
    5. B. Curtis Eaves, 1971. "The Linear Complementarity Problem," Management Science, INFORMS, vol. 17(9), pages 612-634, May.
    6. Inada, Ken-ichi, 1971. "The Production Coefficient Matrix and the Stolper-Samuelson Condition," Econometrica, Econometric Society, vol. 39(2), pages 219-239, March.
    7. Arza K. Rao, 1975. "On the Linear Complementarity Problem," Management Science, INFORMS, vol. 22(4), pages 427-429, December.
    8. M. Seetharama Gowda, 1993. "Applications of Degree Theory to Linear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 868-879, November.
    9. A. Chandrashekaran & T. Parthasarathy & V. Vetrivel, 2013. "Solving Strongly Monotone Linear Complementarity Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(04), pages 1-13.
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